CHEVY HOSE WITH NO HOME

IM leaking coolant from a hose that runs to the fire wall and to what I belive is the heater. Its a 21/4 inch elbow hose. But I have no idea where it is suppose to connect to. There doesnt seem to be any nipple near it to connect to. I think mabey another piece may have been connected to it an ran to another part of the engine but not sure where it goes?

If its a heater hose there should be another hose that same diameter look on the firewall at the back of the engine where the heater core hooks up and see if you can find a hose going to the firewall there should be connections for two hoses